Abstract
Ver {V n } be a sequence of random elements in a separable Banach space. Conditions are obtained under which\(E||\mathop \Sigma \limits_1^n V_k ||^r = o(n)\).
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Dale, A.I. Convergence inr-mean of normalized partial sums in a separable Banach space. Metrika 24, 169–173 (1977). https://doi.org/10.1007/BF01893403
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DOI: https://doi.org/10.1007/BF01893403